Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/54286
Title: | Symmetries of the free Schrödinger equation in the non-commutative plane |
Author: | Batlle Arnau, Carles Gomis Torné, Joaquim Kamimura, Kiyoshi |
Keywords: | Equació de Schrödinger Spin (Física nuclear) Teoria quàntica Schrödinger equation Nuclear spin Quantum theory |
Issue Date: | 2014 |
Publisher: | Institute of Mathematics of the National Academy of Sciences of Ukraine |
Abstract: | We study all the symmetries of the free Schrödinger equation in the non-commu- tative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears naturally from a two-dimensional Heisenberg algebra generated by Galilean boosts and momenta. These infinite high symmetries could be useful for constructing non-relativistic interacting higher spin theories. A finite-dimensional subalgebra is given by the Schröodinger algebra which, besides the Galilei generators, contains also the dilatation and the expansion. We consider the quantization of the symmetry generators in both the reduced and extended phase spaces, and discuss the relation between both approaches. |
Note: | Reproducció del document publicat a: http://dx.doi.org/10.3842/SIGMA.2014.011 |
It is part of: | Symmetry Integrability and Geometry: Methods and Applications, 2014, vol. 10, p. 011 |
URI: | http://hdl.handle.net/2445/54286 |
Related resource: | http://dx.doi.org/10.3842/SIGMA.2014.011 |
ISSN: | 1815-0659 |
Appears in Collections: | Articles publicats en revistes (Física Quàntica i Astrofísica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
640156.pdf | 388.15 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License